BEIJING—Chinese travel website Qunar Cayman Islands said Thursday it has received a buyout offer—the latest in a string of U.S.-listed Chinese companies to get going-private proposals.

In a letter to Qunar’s board, Ocean Management Ltd., an affiliate of a private-equity fund focused on the travel industry, made a nonbinding offer to acquire all outstanding shares of Qunar not owned by significant shareholders for $10.13 per ordinary share, which represents a 15% premium over Wednesday’s closing price.